Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 5 - Integration - 5.3 Fundamental Theorem of Calculus - 5.3 Exercises: 89

Answer

$$1$$

Work Step by Step

$$\eqalign{ & \int_0^{\pi /3} {\sec x\tan x} dx \cr & {\text{integrate using the basic rules for integration}} \cr & = \left. {\left( {\sec x} \right)} \right|_0^{\pi /3} \cr & {\text{using the fundamental theorem}} \cr & = \sec \left( {\frac{\pi }{3}} \right) - \sec \left( 0 \right) \cr & {\text{Simplify}} \cr & = 2 - 1 \cr & = 1 \cr} $$
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